Answer: Draw a line through the two points (0,2) and (3,3). See the attached image below.
How did I get these two points? The first point comes from the fact that "at the start, the height is 2 inches" meaning that x = 0 hours and y = 2 inches pair up together. This is show as point A. This is the y intercept as this is the location where the blue graph crosses the vertical y axis.
Point B is found by moving 1 unit up from point A and 3 units to the right to land on (3,3). So we have x = 3 hours and y = 3 inches pair up together.
Note: the slope is rise/run = 1/3 helping us determine the unit rate or speed in which the water is rising (ie the water is rising one-third of an inch per hour)
Answer:
-23
Step-by-step explanation:
The discriminant is the number inside of the radical of the quadratic formula.
Basically the line is 180° in total.
If one side is 129°
then the other side is 180 - 129
which means x = 51°
Answer:
- WY = 2.2
- m∠W = 63.4°
- m∠Y = 26.6°
Step-by-step explanation:
It is convenient to use the Pythagorean theorem to find the hypotenuse, given the side lengths.
WY² = WX² +XY²
WY² = 2² +1² = 4 +1 = 5 . . . . . fill in the given numbers
WY = √5
WY ≈ 2.2
_____
It is convenient to use the tangent relation to find the angles.
tan(W) = XY/XW = 2/1 = 2
W = arctan(2) ≈ 63.4°
You can do likewise for angle Y, or you can simply find the complement of angle W. (The acute angles in a right triangle are complements of each other.)
Y = 90° -W = 26.6°
The angle measures are ...
